What is the answer to |2x-7|=2x+8 ?

The answer to |2x-7|=2x+8 is x=-1/4

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|2x-7|=2x+8

∣ 2 x - 7 ∣ = 2 x + 8

x = - \frac{1}{4}

Decimal Notation

x = - 0.25

Solution steps

∣ 2 x - 7 ∣ = 2 x + 8

Find positive and negative intervals

x < \frac{7}{2}, x \geq \frac{7}{2}

Solve the inequality for each interval

x = - \frac{1}{4} or No Solution

x = - \frac{1}{4}

2 x^{2} - 5 = 13

- 14 = ∣ 2 x - 3 ∣

x = ∣ x ∣ 1

∣ 80 x ∣ = 10 x^{2}

∣ 3 z - 3 ∣ = 9